A change that you could make to Graph B so that it would show a proportional relationship is vertically shifting it down by 3 units in order to make it pass through the origin (0, 0).
In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
- y represents the y-variable.
- x represents the x-variable.
- k is the constant of proportionality or unit rate.
By critically observing the graph shown above, a change that could be made to Graph B so that it would show a proportional relationship is applying a vertical translation down 3 units in order to make it pass through the origin (0, 0). Hence, its x-intercept and y-intercept would be (0, 0).